Answer:
1. y = sin(x²+C)
2. see below
Step-by-step explanation:
1.
separation of variables
integration both sides
you should get :
remember constant of integration!!
2. y = sin(x²+C)
3 = sin(0+C)
y(0) = 3 does not have a solution because our sin graph is not shifted vertically or multiplied by a factor whose absolute value is greater than 1, so our range is [-1,1] and 3 is not part of this range
The growth factor of the exponential function represented by the table is 5.
The correct option is c.
<h3>What is the growth factor of the exponential function?</h3>The growth factor of the exponential function is the ratio of the two consecutive terms (y-values).
The growth factor of the exponential function is given by;
As per given, we have a table;
x y
-2 0.004
-1 0.02
0 0.1
1 0.5
The value is -2 and
is -1.
Therefore,
the growth factor of the exponential function represented by the table would be :
Hence, the growth factor of the exponential function represented by the table is 5.
To know more about the Growth factor click the link given below.